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Article: Extremal covariant measurements

TitleExtremal covariant measurements
Authors
Issue Date2006
Citation
Journal of Mathematical Physics, 2006, v. 47, n. 9 How to Cite?
AbstractWe characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non transitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information. © 2006 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/212881
ISSN
2015 Impact Factor: 1.234
2015 SCImago Journal Rankings: 0.767
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, Giulio-
dc.contributor.authorD'Ariano, Giacomo Mauro-
dc.date.accessioned2015-07-28T04:05:19Z-
dc.date.available2015-07-28T04:05:19Z-
dc.date.issued2006-
dc.identifier.citationJournal of Mathematical Physics, 2006, v. 47, n. 9-
dc.identifier.issn0022-2488-
dc.identifier.urihttp://hdl.handle.net/10722/212881-
dc.description.abstractWe characterize the extremal points of the convex set of quantum measurements that are covariant under a finite-dimensional projective representation of a compact group, with action of the group on the measurement probability space which is generally non transitive. In this case the POVM density is made of multiple orbits of positive operators, and, in the case of extremal measurements, we provide a bound for the number of orbits and for the rank of POVM elements. Two relevant applications are considered, concerning state discrimination with mutually unbiased bases and the maximization of the mutual information. © 2006 American Institute of Physics.-
dc.languageeng-
dc.relation.ispartofJournal of Mathematical Physics-
dc.titleExtremal covariant measurements-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1063/1.2349481-
dc.identifier.scopuseid_2-s2.0-33749349009-
dc.identifier.volume47-
dc.identifier.issue9-
dc.identifier.isiWOS:000240877500007-

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